Journal of Applied Information Science

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A Common Fixed Point Theorem Using Implicit Relation in Fuzzy Metric Space


Affiliations
1 School of Mathematics and Computer Application, Thapar University, Patiala, Punjab, India
     

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In this paper, we prove a common fixed point theorem in fuzzy metric space by combining the ideas of pointwiseR- weak commutativity and reciprocal continuity of mappings satisfying contractive conditions with an implicit relation. Our results improve and extend many known results in the literature. Moreover, example and application are given to illustrate the usability of the obtained results.

Keywords

Fuzzy Metric Space, Reciprocal Continuity, R-Weakly Commuting Mappings, Implicit Relation.
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  • A Common Fixed Point Theorem Using Implicit Relation in Fuzzy Metric Space

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Authors

Saurabh Manro
School of Mathematics and Computer Application, Thapar University, Patiala, Punjab, India

Abstract


In this paper, we prove a common fixed point theorem in fuzzy metric space by combining the ideas of pointwiseR- weak commutativity and reciprocal continuity of mappings satisfying contractive conditions with an implicit relation. Our results improve and extend many known results in the literature. Moreover, example and application are given to illustrate the usability of the obtained results.

Keywords


Fuzzy Metric Space, Reciprocal Continuity, R-Weakly Commuting Mappings, Implicit Relation.